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Finding the Fourth Proportional to 13,029.30, 17,980.46 and 7,650.70

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Solution

The fourth proportional to 13,029.30, 17,980.46 and 7,650.70 is: 10,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.30 : 17,980.46 = 7,650.70 : x
  2. Step 2: Convert to fraction form
    13,029.30/17,980.46 = 7,650.70/x
  3. Step 3: Cross multiply
    13,029.30x = 17,980.46 × 7,650.70
  4. Step 4: Simplify right side
    13,029.30x = 137,563,105.32
  5. Step 5: Solve for x
    x = 137,563,105.32/13,029.30
  6. Step 6: Final answer
    x = 10,557.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.